Professor Jeff Stuart

PLU Courses – Syllabi, Notes and Handouts

General Handouts

· Keys to Success

· The Fundamental Theorem of Algebra

· Sign

Calculus Handouts

· Five Fundamental Results from Calculus I

· The Fundamental Theorem of Calculus

· Geometric Series Notes

· Power Series Notes

Conference Talks on Linear Algebra Pedagogy

· Shake a Stick at Ill-Conditioning – A classroom demonstration illustrating ill-conditioning

· Matrices Without Inverses – A pedagogical talk about mathematical thinking in the context of what can be said about finding “inverses” for matrices that do not have inverses. These slides are from a talk entitled, “Matrices Without Inverses”, presented at the Joint Math Meeting in San Francisco, January, 2010.

Linear Algebra Handouts

· Introduction to Complex Numbers

· Fundamental Properties of the Real Numbers

· Fundamental Properties of Real n-Space

· Three Proofs of the Cauchy Schwarz Inequality (Also called the Cauchy Buniakowski Schwarz Inequality)

· Interpreting Gaussian Elimination – Notes on Gaussian elimination and obtaining the parametric formulation of the solution set of a system of linear equations

· Thinking about Matrix Multiplication – Notes on four approaches to matrix multiplication

· Matrix Division – Notes on matrix inversion and solving linear systems

· Determinants – Notes on determinants defined via row operations

Courses for Spring 2011

Office Hours: MWF 10:00 – 11:00, Mon 3:30 – 5:00, Thurs 3:00 – 5:00

Math 152 Calculus II

· Syllabus

· Homework through the first exam

Math 331 Linear Algebra

· Syllabus

· Expectations for Letter Grades

· Universal Quantifiers and Counterexamples

· Homework through the first exam

Other Courses Recently Taught

Math 411 Mathematics of Risk (Spring 2010)

· Syllabus

· Course Liability Disclaimer

· Derivation of the Mean and Variance for a Binomial Random Variable

Last update: February 9, 2011.